Victoria has some money from her birthday and the amount is modeled by the function h(x) = 200. She read about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)x − 1. Victoria is thinking about putting her money into the savings account to gain interest. Using complete sentences, explain to Victoria how she can combine her functions to create a new function, and explain what this new function means.



Answer :

so h(x) is total she has

the other function is interest
if she uses her money to gain interest then she puts in 200 for x in second equation

so subsitute 200 for x
the combined function would be
s(h(x))=(1.05)^(200-1)
basically she put in her savings/gifts and got interst

s(200)=(1.05)^(200-1)
s(200)=(1.05)^(199)
s(200)=16469.1

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